After losing your job, and needing cash fast, you decide to try
your hand at gambling. This turns out to be a terrible decision
on your part, as you lose more money and in fact end up owing
the casino. At an interest rate of 22% per year, how much will
you owe on a loan of $4000: a) After one year? b) After three
years?


After losing your job and needing cash fast you decide to try your hand at gambling This turns out to be a terrible decision on your part as you lose more money class=

Respuesta :

Given:

The principal = $ 4000

The rate of interest = 22 %

To find the loan amount a) after 1 year and b) after 3 years.

Formula

Loan amount is

[tex]A = P(1+\frac{r}{100} )^{t}[/tex]

where,

A be the loan amount

P be the principal

r be the rate of interest and

t be the time.

Now,

a) Taking, P = 4000, r = 22, t = 1 we get,

[tex]A = 4000 (1+\frac{22}{100} )^{1}[/tex]

or, [tex]A = 4880[/tex]

Again,

b) Taking, P = 4000, r = 22 and t = 4 w eget,

[tex]A = 4000(1+\frac{22}{100})^{4}[/tex]

[tex]or, A = 7263.39[/tex]

Hence,

a) The amount of loan after 1 year is $ 4880

and b) The amount of loan after 4 year is $ 7263.39.